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Finding the Fourth Proportional to 441.24, 661.32 and 181.23

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Solution

The fourth proportional to 441.24, 661.32 and 181.23 is: 271.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.24 : 661.32 = 181.23 : x
  2. Step 2: Convert to fraction form
    441.24/661.32 = 181.23/x
  3. Step 3: Cross multiply
    441.24x = 661.32 × 181.23
  4. Step 4: Simplify right side
    441.24x = 119,851.02
  5. Step 5: Solve for x
    x = 119,851.02/441.24
  6. Step 6: Final answer
    x = 271.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.